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Finding the Fourth Proportional to 1,357.82, 2,035.86 and 627.56

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Solution

The fourth proportional to 1,357.82, 2,035.86 and 627.56 is: 940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.82 : 2,035.86 = 627.56 : x
  2. Step 2: Convert to fraction form
    1,357.82/2,035.86 = 627.56/x
  3. Step 3: Cross multiply
    1,357.82x = 2,035.86 × 627.56
  4. Step 4: Simplify right side
    1,357.82x = 1,277,624.30
  5. Step 5: Solve for x
    x = 1,277,624.30/1,357.82
  6. Step 6: Final answer
    x = 940.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.